Periodic waves with constant vorticity in water of infinite depth
Periodic waves with constant vorticity in water of infinite depth
复制标题
无限深度水中具有恒定涡度的周期波
DOI：
10.1093/imamat/56.3.207
复制
发表时间：
1996
影响因子：
1.2
通讯作者：
J. Vanden
中科院分区：
文献类型：
--
作者：
J. Vanden
本文研究了无限深水中常涡量流体表面的常速度周期波。用边界积分方程法数值求解了该问题。Simmen和Saffman（Stud. Appl. Maths 75，35，1985）表明，存在解族，其极限构型在其波峰处具有120°角，或在其波谷处具有被捕获的气泡。它表明，有额外的家庭的解决方案。这些家庭有限制的配置与被困的气泡在其波峰。每个气泡都是圆形的，并且包含进行刚体旋转的流体。所得结果与前人对有限水深孤立波的计算结果一致。
Periodic waves propagating at a constant velocity at the surface of a fluid with constant vorticity in water of infinite depth are considered. The problem is solved numerically by a boundary-integral-equation method. Simmen & Saffman (Stud. Appl. Maths 75, 35, 1985) showed that there are families of solutions which have limiting configurations with a 120° angle at their crests or a trapped bubble at their troughs. It is shown that there are additional families of solutions. These families have limiting configurations with trapped bubbles at their crests. Each bubble is circular and contains fluid in rigid-body rotation. The results are consistent with previous calculations for solitary waves in water of finite depth.